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JEE MATHEMATICS MCQ: STRAIGHT LINES

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Application +4 | -1
The vertices of a Δ  OBC\Delta \;OBC are (0,  0),  B(−3,−1)\left( {0,\;0} \right),\;B\left( { - 3, - 1} \right) and C(−1,−3).C\left( { - 1, - 3} \right). The equation of a line parallel to BC and intersecting sides OB and OC whose distance from the origin is 1/2, is
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Correct option: D
x+y+12=0x + y + \frac{1}{{\sqrt 2 }} = 0
Option D (x+y+12=0x + y + \frac{1}{{\sqrt 2 }} = 0) is correct because it represents a line parallel to BC at a distance of 1/2 from the origin.

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